Question

Question 23 y = {x-9 y = {x + 3 23) Which statement about the linear equations listed above is true? A The lines are parallel lines, therefore there is no solution. B В The lines are the same line, therefore there are infinitely many solutions. The lines are parallel, therefore there are infinitely many solutions. D The lines intersect, therefore there is 1 solution.

Answer 1

Given data:

The first equation of the line is y= 2/3 x -9.

The second equation of the line is y= 2/3 x +3.

The standard equation of the line is,

`y=mx+c_{}`

Compare the given equation with the standard equation of the line.

`\begin{gathered} m=(2)/(3) \\ m^(\prime)=(2)/(3) \end{gathered}`

As the slope of both the lines are equal, it means above lines are parallel.

Thus, the given lines are parallel, so there is no solution option (A) is correct.